논문KCI 등재
SOME OPIAL-TYPE INEQUALITIES APPLICABLE TO DIFFERENTIAL EQUATIONS INVOLVING IMPULSES
한국수학교육학회|2015.11|이론수학과 교직수학 (Theoretical Mathematics and Pedagogical Mathematics)|제22권 제4호|pp. 315-331
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The purpose of this paper is to obtain Opial-type inequalities that are useful to study various qualitative properties of certain differential equations involving impulses. After we obtain some Opial-type inequalities, we apply our results to certain differential equations involving impulses.
Abstract
The purpose of this paper is to obtain Opial-type inequalities that are useful to study various qualitative properties of certain differential equations involving impulses. After we obtain some Opial-type inequalities, we apply our results to certain differential equations involving impulses.
참고문헌 (11)
- R.P. Agarwal, "Opial inequalities with applications in differential and difference equations" (1995), Kluwer Academic Publishers
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- Yung Jin Kim, "STIELTJES DERIVATIVES AND ITS APPLICATIONS TO INTEGRAL INEQUALITIES OF STIELTJES TYPE", 순수 및 응용수학, 18(1), pp.63~78 (2011), 한국수학교육학회
- 김영진, "STIELTJES DERIVATIVE METHOD FOR INTEGRAL INEQUALITIES WITH IMPULSES", 순수 및 응용수학, 21(1), pp.61~75 (2014), 한국수학교육학회
- P. Krejci, "A nonexistence result for the Kurzweil integral", Math. Bohem, 127, pp.571~580 (2002)
- W.F. Pfeffer, "The Riemann approach to integration: local geometric theory" (1993), Cambridge University Press
- A.M. Samoilenko, "Impulsive differential equations" (1995), World Scientific
- S. Schwabik, "Generalized ordinary differential equations" (1992), World Scientific
- S. Schwabik, "Differntial and integral equations: boundary value problems and adjoints" (1979), Academia and D. Reidel
- M. Tvrdy, "Regulated functions and the Perron-Stieltjes integral", Casopis pest. mat, 114(2), pp.187~209 (1989)
관련 논문AI추천
BOUNDS OF SOLUTIONS OF AN INTEGRO-DIFFERENTIAL EQUATION INVOLVING IMPULSES김영진한국수학교육학회 · 이론수학과 교직수학2017 · 제24권 제3호SOME RETARDED INTEGRAL INEQUALITIES AND THEIR APPLICATIONSYoung Jin Kim한국수학교육학회 · 이론수학과 교직수학2016 · 제23권 제2호On Opial Type Inequalities with Nonlocal Conditions and ApplicationsJamal Ibrahim Daoud, Lazhar Bougoffa경북대학교 자연과학대학 수학과 · Kyungpook Mathematical Journal2011 · 제51권 제2호STIELTJES DERIVATIVE METHOD FOR INTEGRAL INEQUALITIES WITH IMPULSES김영진한국수학교육학회 · 이론수학과 교직수학2014 · 제21권 제1호New integral inequalities for nonlinear functions and their applicationsTae-In Kwon, Young-Ho Kim장전수학회 · Advanced Studies in Contemporary Mathematics2008 · 제16권 제1호On stability of nonlinear integro-differential systems with impulsive effect강보원, 구남집, 이현희대한수학회 · 대한수학회논문집2020 · 제35권 제3호
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